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ARPN Journal of Science and Technology >> Volume 7, Issue 1, January 2017

ARPN Journal of Science and Technology


A New Class of Bianchi Type-I Cosmological Models with Viscosity and Cosmological Term

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Author Lal Jee Yadav, Lalji Singh Yadav, Anirudh Pradhan
ISSN 2225-7217
On Pages 839-849
Volume No. 3
Issue No. 8
Issue Date September 01, 2013
Publishing Date September 01, 2013
Keywords Bianchi type-I models; Entropy; Variable deceleration parameter; Cosmological constant



Abstract

Exact solutions of Einsteinís field equations for a Bianchi type-I space-time filled with a dissipative fluid and cosmological term ? are investigated. To get deterministic solution we choose the scale factor a(t) = v t^n e^t, where n is a positive constant. This choice of the scale factor yields a time dependent deceleration parameter (DP), representing a model which generates a transition of the universe from the early decelerating phase to the recent accelerating phase. In this paper we generalize the recent results of Yadav et al. [27]. We find a variety of solutions in Bianchi type-I space-time for different values of n with variable and constant viscosity and cosmological constant. The cosmological constant ? (t) is found to be in good agreement with recent supernovae Ia observations. The cosmic jerk parameter is also found to be in good concordance with the recent data of astrophysical observations under appropriate condition. The physical and geometric properties of the derived models are discussed in the light of thermodynamic.


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